On uniform dichotomy in mean of stochastic skew-evolution semiflows in Banach spaces

Abstract

In this paper we consider three concepts of uniform dichotomy in mean for stochastic skew-evolution semiflows: uniform exponential dichotomy in mean, uniform polynomial dichotomy in mean and uniform h- dichotomy in mean. Some characterizations of these notions and connections between these concepts are given. The obtained results can be considered generalizations to the dichotomy case of the results from [29].

Keywords

• stochastic skew-evolution semiflows
• growth rate
• uniform h-dichotomy in mean
• 34d05
• 93d20
• 37l55